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Finding the Fourth Proportional to 65,418.68, 98,104.22 and 27,981.49

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Solution

The fourth proportional to 65,418.68, 98,104.22 and 27,981.49 is: 41,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,418.68 : 98,104.22 = 27,981.49 : x
  2. Step 2: Convert to fraction form
    65,418.68/98,104.22 = 27,981.49/x
  3. Step 3: Cross multiply
    65,418.68x = 98,104.22 × 27,981.49
  4. Step 4: Simplify right side
    65,418.68x = 2,745,101,620.46
  5. Step 5: Solve for x
    x = 2,745,101,620.46/65,418.68
  6. Step 6: Final answer
    x = 41,962.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.